Finding the Fourth Proportional to 512,349.60, 707,013.12 and 286,009.44
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Solution
The fourth proportional to 512,349.60, 707,013.12 and 286,009.44 is: 394,676.66
Step by Step Solution
- Step 1: Write the proportion equation
512,349.60 : 707,013.12 = 286,009.44 : x - Step 2: Convert to fraction form
512,349.60/707,013.12 = 286,009.44/x - Step 3: Cross multiply
512,349.60x = 707,013.12 × 286,009.44 - Step 4: Simplify right side
512,349.60x = 202,212,426,523.85 - Step 5: Solve for x
x = 202,212,426,523.85/512,349.60 - Step 6: Final answer
x = 394,676.66
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.